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Evgen [1.6K]
3 years ago
12

What is the image of point (0,2) after a rotation of 90° counterclockwise about the origin?

Mathematics
1 answer:
saveliy_v [14]3 years ago
4 0

Answer:

(-2,0)

Step-by-step explanation:

remember the rule for 90 degree clockwise is (-y,x) opposite y and x

the negative in there DOES NOT mean it will always be negative it means opposite but in this case yes it's negative because the opposite of positive is negative

Hope this helps dude, I'm also learning this in online school lol. ^-^

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The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day.
mote1985 [20]

The confidence interval for the mean usage of water is (18.7,20.5).

Given population standard deviation of 2.4, mean of 19.5 gallons per day and confidence interval of 98%.

We have to find the confidence interval for the mean usage of water.

To find out the confidence interval we have to first find margin of error.

μ=19.5

σ=2.4

α=0.98

α/2=0.49

We have to find the z value for the p value 0.49 which is z=2.33

Margin of error=z*μ/\sqrt{n}

=2.33*19.5/\sqrt{3034}

=0.82

lower level=mean -m

=19.5-0.82

=18.68

after rounding upto 1 decimal

=18.7

upper mean = mean+m

=19.5+0.82

=20.52

Hence the confidence interval for the usage of water is (18.7,20.52).

Learn more about margin of error at brainly.com/question/10218601

#SPJ4

7 0
2 years ago
What is the value of x?
NISA [10]
Since vertical angles are congruent, (4x+7)=5(x-4). So simplifying we get 4x+7=5x-20. If we add 20 on both sides we get 4x+27=5x. Now when we subtract x from both sides, we get x=27

7 0
3 years ago
vera is measuring the size of a small hexagonal silver box that she owns. she places a standard 12 inch ruler alongside the box.
Rzqust [24]

I believe there is a corresponding figure to help answer this problem. See attached photo.

From the figure, we can see that there are 8 tick marks in an inch. The number of tick marks covering one side is about 5.5 tick marks. Therefore:

length = 5.5 tick marks * (1 inch / 8 tick marks)

length = 0.69 inches

4 0
4 years ago
The student council is planning an activity night to raise money. The student council will charge $5 per student to attend the a
sineoko [7]

Answer:

5n

Step-by-step explanation:

They are charging 5 dollars per person and n is the number of students.  You would multiply 5 by n (the number of students) to see how much money they raised.

7 0
3 years ago
Arrie is planning her birthday party at a restaurant. She cannot spend more than $75 on the party. The cost per person for the m
sdas [7]

Answer:

A. 5

Step-by-step explanation:

12 times 5 is 60 plus 10 is 70. 70 < 75

4 0
3 years ago
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